Question

Find the solution to the given system of linear equations using elimination-5y=3x-9 3x+4y-3=0

Answer 1

Answer:

y = -2/3

x = 2 1/9

Step-by-step explanation:

First let's write out the equation:

5y = 3x - 9

3x + 4y - 3 = 0

To find the answer using elimination, you must get subtract or add the opposite values in the equation so you are left with only one variable:

5y - 3x = - 9

4y + 3x = 3

Since we've aligned both positive 3x and negative 3x, let's now add all of the corresponding values of the equation:

9y + 0 = -6

9y = -6

Final steps to solve:

y = -6 ÷ 9

y = -2/3

No that we know the value of y, we must find the value of x as well. To do this, we will plug the value of y into one of our previous equations:

5y = 3x - 9

5 * (-2/3) = 3x - 9

-10/3 = 3x - 9

- 3 1/3 = 3x - 9

6 1/3 = 3x

x = 6 1/3 ÷ 3

x = 19/3 * 1/3

x = 19/9

x = 2 1/9

That's it! Here are the solutions:

y = -2/3

x = 2 1/9